The number 2237
2237 is a twin prime (2237 and 2239 are both prime) and the 332nd prime number. Its only divisors are 1 and 2237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2237: a twin prime (2237 and 2239 are both prime); the 332nd prime number.
- 2
2237 is prime, so its only factors are 1 and 2237. It is the 332nd prime; the next prime is 2239 and the one before is 2221.
- 3
The divisors add up to 2238; without 2237 itself that is 1, so 2237 is deficient (1 is less than 2237). Euler's totient φ(2237) = 2236 numbers up to 2237 share no factor with it.
- 4
The digits of 2237 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
2237 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2238 |
| Euler totient φ(n) | 2236 |
| Square | 5004169 |
| Cube | 11194326053 |
| Square root | 47.296934 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 2.237 × |
2237 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and thirty-seven |
| Roman numerals | MMCCXXXVII |
| Binary (base 2) | 100010111101 |
| Octal (base 8) | 4275 |
| Hexadecimal (base 16) | 8BD |
| Base 3 | 10001212 |
| As time | 2237 seconds = 37 min 17 s |
Is 2237 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2237 a prime number?
Yes. 2237 is divisible only by 1 and itself.
What are the factors of 2237?
1, 2237.
What is 2237 in binary?
100010111101 (hexadecimal 8BD, octal 4275).
What is the square root of 2237?
About 47.2969.
What is 2237 in Roman numerals?
MMCCXXXVII.
Is 2237 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2237?
2237 is a twin prime (2237 and 2239 are both prime); the 332nd prime number.